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Finding the Fourth Proportional to 4,477.41, 6,718.14 and 1,846.85

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Solution

The fourth proportional to 4,477.41, 6,718.14 and 1,846.85 is: 2,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.41 : 6,718.14 = 1,846.85 : x
  2. Step 2: Convert to fraction form
    4,477.41/6,718.14 = 1,846.85/x
  3. Step 3: Cross multiply
    4,477.41x = 6,718.14 × 1,846.85
  4. Step 4: Simplify right side
    4,477.41x = 12,407,363.27
  5. Step 5: Solve for x
    x = 12,407,363.27/4,477.41
  6. Step 6: Final answer
    x = 2,771.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.